Question
In: Statistics and Probability
a)By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable
x
4
5
6
8
9
y
6
8
11
14
16
a)By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable
b)Find the equation of the line containing the points (44,66) and (9,16).
c)Graph the line found in part (b) on the scatter diagram.
d)By hand, determine the least-squares regression line.
e)Graph the least-squares regression line on the scatter diagram.
f)Compute the sum of the squared residuals for the line found in part (b).
g)Compute the sum of the squared residuals for the least-squares regression line found in part (d).
h)Comment on the fit of the line found in part (b) versus the least-squares regression line found in part (d).
Solutions
orchestra answered 2 years agoRelated Solutions
Consider a binary response variable y and an explanatory variable x. The following table contains the...
Consider a binary response variable y and an
explanatory variable x. The following table contains the
parameter estimates of the linear probability model (LPM) and the
logit model, with the associated p-values shown in
parentheses.
Variable
LPM
Logit
Constant
−0.78
−5.90
(0.03
)
(0.03
)
x
0.04
0.28
(0.07
)
(0.02
)
a. Test for the significance of the intercept and
the slope coefficients at the 5% level in both models.
Coefficients
LPM
Logit
Intercept
Slope
b. What is the...
Consider a binary response variable y and an explanatory variable x. The following table contains the...
Consider a binary response variable y and an
explanatory variable x. The following table contains the
parameter estimates of the linear probability model (LPM) and the
logit model, with the associated p-values shown in
parentheses.
Variable
LPM
Logit
Constant
−0.70
−6.60
(0.03
)
(0.03
)
x
0.04
0.18
(0.04
)
(0.03
)
a. Test for the significance of the intercept and
the slope coefficients at the 5% level in both models.
coefficient
LPM
Logit
intercept
slope
b. What is the...
Consider data regarding a response y and an explanatory variable x, both numeric x y 1...
Consider data regarding a response y and an explanatory variable
x, both numeric
x
y
1
2.8
0.7
2
2.6
1.3
3
6.8
-1.1
4
3.0
0.2
5
4.7
1.1
6
5.0
-0.1
7
5.0
0.9
8
2.9
1.0
9
7.0
-0.2
10
3.7
0.8
The null hypothesis that the expected value of the response is
constant for all values of the explanatory variable is:
Select one:
a. Not rejected with a significance level of 5%.
b. Rejected with a...
17.3 Consider a binary response variable y and an explanatory variable x. The following table contains...
17.3
Consider a binary response variable y and an
explanatory variable x. The following table contains the
parameter estimates of the linear probability model (LPM) and the
logit model, with the associated p-values shown in
parentheses.
Variable
LPM
Logit
Constant
−0.69
−6.30
(0.04)
(0.06)
x
0.05
0.15
(0.07)
(0.06)
a.
Test for the significance of the intercept and the slope
coefficients at a 5% level in both models.
Coefficients
LPM
Logit...
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand,...
For the accompanying data set, (a) draw a scatter diagram of
the data, (b) by hand, compute the correlation coefficient, and
(c) determine whether there is a linear relation between x and
y.
n
3
0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9
0.666
10
0.632
11
0.602
12
0.576
13
0.553
14
0.532
15
0.514
16
0.497
17
0.482
18
0.468
19
0.456
20
0.444
21
0.433
22
0.423
23
0.413
24
0.404
25
0.396...
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand,...
For the accompanying data set, (a) draw a scatter diagram of
the data, (b) by hand, compute the correlation coefficient, and
(c) determine whether there is a linear relation between x and
y.
x 2 4 6 6 7
y 4 8 11 13 18
n
3
0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9
0.666
10
0.632
11
0.602
12
0.576
13
0.553
14
0.532
15
0.514
16
0.497
17
0.482
18
0.468
19
0.456...
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand,complete...
For the accompanying data set, (a) draw a scatter diagram of the
data, (b) by hand,complete the correlation coefficient, and (c)
determine whether there is a linear relation between x and y.
x
2
4
6
6
7
y
4
8
12
12
20
Critical Values for Correlation Coefficient
n
3
0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9
0.666
10
0.632
11
0.602
12
0.576
13
0.553
14
0.532
15
0.514
16
0.497
17
0.482...
Collect data on one response (dependent or y) variable and two different explanatory (independent or x)...
Collect data on one response (dependent or y) variable and two
different explanatory (independent or x) variables. This will
require a survey with three questions. For example: To predict a
student’s GPA (y), you might collect data on two x variables: SAT
score and age. So we would be trying to determine if there was a
linear correlation between someone’s SAT score and their GPA, as
well as their age and their GPA. (Note: students may not choose GPA
as...
Collect data on one response (dependent or y) variable and two different explanatory (independent or x)...
Collect data on one response (dependent or y) variable and two
different explanatory (independent or x) variables. This will
require a survey with three questions. For example: To predict a
student’s GPA (y), you might collect data on two x variables: SAT
score and age. So we would be trying to determine if there was a
linear correlation between someone’s SAT score and their GPA, as
well as their age and their GPA. (Note: students may not choose GPA
as...
Draw the scatter diagram. Solve the type of relation that exists occurs between x/y. Figure out...
Draw the scatter diagram. Solve the type of relation that exists
occurs between x/y. Figure out what the least squares regression
line is.
x y
1 4.8
2 1.0
3 3.2
4 7.6
5 5.9
6 1.7
7 6.2
8 10.4
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